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Mirrors > Home > ILE Home > Th. List > reseq1d | Unicode version |
Description: Equality deduction for restrictions. (Contributed by NM, 21-Oct-2014.) |
Ref | Expression |
---|---|
reseqd.1 |
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Ref | Expression |
---|---|
reseq1d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reseqd.1 |
. 2
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2 | reseq1 4821 |
. 2
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3 | 1, 2 | syl 14 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-v 2691 df-in 3082 df-res 4559 |
This theorem is referenced by: reseq12d 4828 fun2ssres 5174 funcnvres2 5206 funimaexg 5215 fresin 5309 offres 6041 tfrlemisucaccv 6230 tfrlemi1 6237 tfr1onlemsucaccv 6246 tfrcllemsucaccv 6259 freceq1 6297 freceq2 6298 fseq1p1m1 9905 setsresg 12036 setscom 12038 dvcoapbr 12879 |
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